New SAT Math (No Calculator) Practice Test 1
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If xy < 0, which of the following must be true?
I. x + y = 0
II. 2y – 2x < 0
III. x2 + y2 > 0
I only
III only
I and III
II and III
The length of a certain rectangle is twice the width. If the area of the rectangle is 128, what is the length of the rectangle?
4
8
16
21(1⁄3)
rx2 = (1⁄s)x + 3
A quadratic equation is provided above, where r and s are constants. What are the solutions for x ?
If i = what is the product of (4 + 7i) and (1⁄2 – 2i)?
16 - 9⁄2i
14 + 9⁄2i
2 - 8i - 14i2
i(8 +9⁄2 )
For the equation , the value of m is -3. What is the solution set for the equation?
{-3, 3}
{-2}
{-2, -7}
{3, 6}
y = 3x – 1
1⁄2y + x = 1
In the system of equations above, if (x, y) is the solution to the system, what is the value of x⁄y ?
3⁄8
2⁄5
3⁄4
4⁄3
1⁄8 + 1⁄10 = a⁄b
In the equation above, if a and b are positive integers and a⁄b is in its simplest reduced form, what is the value of a ?
2
9
18
40
If what is the value of x ?
1
2
4
6
If a = −2, then a + a2 − a3 + a4 − a5 =
−22
−18
32
58
Which of the following represents the statement “the sum of the squares of x and y is equal to the square root of the difference of x and y”?
Note: Figure not drawn to scale.
The circle above with center A has an area of 21. BC is tangent to the circle with center A at point B. If AC = 2AB, then what is the area of the shaded region?
3.5
15.75
17.5
21
In the figure above, sin a = x. What is the value of cos b?
x
1⁄x
|1 - x|
What is the value of tan ∠XZY ?
In the figure above, circle O has a radius of 8, and angle XOY measures 5⁄16π radians. What is the measure of minor arc XY ?
5⁄16π
5⁄2π
5π
16π
The figures above show the graphs of the functions f and g. The function f is defined by f(x) = 2x3 + 5x2 – x. The function g is defined by g(x) = f(x – h) – k, where h and k are constants. What is the value of hk ?
-2
-1
0
1
The graph of line l in the xy-plane passes through the points (2, 5) and (4, 11). The graph of line m has a slope of -2 and an x-intercept of 2. If point (x, y) is the point of intersection of lines l and m, what is the value of y ?
3⁄5
4⁄5
1
2
The graph above shows y = 2x. Which of the following graphs represents y = |2x|?
A
B
C
D
Let the function f be defined such that f(x) = x2 – c, where c is a constant. If f(-2) = 6, what is the value of c ?
-10
-2
Zero
2
If y = 3x and x and y are both integers, which of the following is equivalent to 9x + 3x + 1 ?
y3
3y + 3
y(y + 3)
y2 + 3
If , what is the value of x ?
4
16
16√2
32
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